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A008633 Molien series for A_10. 0

%I #16 Mar 12 2023 09:48:28

%S 1,1,2,3,5,7,11,15,22,30,42,55,75,97,128,164,212,267,340,423,530,653,

%T 807,984,1204,1455,1761,2112,2534,3015,3590,4242,5013,5888,6912,8070,

%U 9418,10936,12690,14663,16928,19466,22367,25608,29292,33402,38048,43216,49040,55499,62747

%N Molien series for A_10.

%D D. J. Benson, Polynomial Invariants of Finite Groups, Cambridge, 1993, p. 105.

%H <a href="/index/Mo#Molien">Index entries for Molien series</a>

%H <a href="/index/Rec#order_48">Index entries for linear recurrences with constant coefficients</a>, signature (0, 2, 2, 0, -2, -3, -3, 0, 3, 3, 0, 0, 1, 2, 3, 1, -5, -8, -5, 0, 4, 4, 2, 0, 2, 4, 4, 0, -5, -8, -5, 1, 3, 2, 1, 0, 0, 3, 3, 0, -3, -3, -2, 0, 2, 2, 0, -1).

%F G.f. (1+x^45)/ prod_{m=1..10} (1-x^m).

%F a(n) = A008639(n) + A008639(n-45). - _R. J. Mathar_, Mar 12 2023

%p (1+x^45)/(1-x)/(1-x^2)/(1-x^3)/(1-x^4)/(1-x^5)/(1-x^6)/(1-x^7)/(1-x^8)/(1-x^9)/(1-x^10)

%K nonn,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _R. J. Mathar_, May 24 2008

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